x+lnx-e=0

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Solution for x+lnx-e=0 equation:


Simplifying
x + lnx + -1e = 0

Reorder the terms:
-1e + lnx + x = 0

Solving
-1e + lnx + x = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-1lnx' to each side of the equation.
-1e + lnx + -1lnx + x = 0 + -1lnx

Combine like terms: lnx + -1lnx = 0
-1e + 0 + x = 0 + -1lnx
-1e + x = 0 + -1lnx
Remove the zero:
-1e + x = -1lnx

Add '-1x' to each side of the equation.
-1e + x + -1x = -1lnx + -1x

Combine like terms: x + -1x = 0
-1e + 0 = -1lnx + -1x
-1e = -1lnx + -1x

Divide each side by '-1'.
e = lnx + x

Simplifying
e = lnx + x

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